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dc.contributor.author
Ramírez, Santiago Agustín  
dc.date.available
2025-06-06T14:10:47Z  
dc.date.issued
2023-04  
dc.identifier.citation
Ramírez, Santiago Agustín; Indecomposable solutions of the Yang-Baxter equation with permutation group of sizes pq and p 2 q; Taylor & Francis; Communications In Algebra; 51; 10; 4-2023; 4185-4194  
dc.identifier.issn
0092-7872  
dc.identifier.uri
http://hdl.handle.net/11336/263643  
dc.description.abstract
In this paper we study the problem of the classification of indecomposable solutions of the Yang-Baxter equation. Using a scheme proposed by Bachiller, Cedó, and Jespers, and recent advances in the classification of braces we classify all indecomposable solutions with some particular permutation groups. We do this for all groups of size pq, all abelian groups of size p2q and all dihedral groups of size p2q.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Taylor & Francis  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Decomposable solution  
dc.subject
Set-theoretical involutive solution  
dc.subject
Yang-Baxter equation  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Indecomposable solutions of the Yang-Baxter equation with permutation group of sizes pq and p 2 q  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2025-06-06T12:46:40Z  
dc.journal.volume
51  
dc.journal.number
10  
dc.journal.pagination
4185-4194  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
Londres  
dc.description.fil
Fil: Ramírez, Santiago Agustín. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina  
dc.journal.title
Communications In Algebra  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1080/00927872.2023.2200827  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1080/00927872.2023.2200827  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/http://arxiv.org/abs/2208.06741v1  

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